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Sunny_sXe [5.5K]
3 years ago
10

The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average t

emperature on Mars is about -55 degrees Celsius.
Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know.
Write an inequality to show your answer. Check your work with the video when you are ready.
Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

United States

Step-by-step explanation:

-62 < -55?

Because on the number line, -62 is farther left than -55.

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The quotient of 45 and 4 2/5? What is the expression for that ?
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Answer:

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Acute △ABC with angles α, β, and γ is inscribed in a circle. Tangents to the circle at points A, B, and C intersect in points M,
SOVA2 [1]

Answer:

The measures of angles of triangle MNP are

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the measure of arcs AB, BC and AC

we know that

The inscribed angle is half that of the arc it comprises.

so

\gamma=\frac{1}{2}[arc\ AB] ----> arc\ AB=2\gamma\\\alpha=\frac{1}{2}[arc\ BC] ----> arc\ BC=2\alpha\\\beta=\frac{1}{2}[arc\ AC] ----> arc\ AC=2\beta

step 2

Find the measure of angle M

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

M=\frac{1}{2}[arc\ AB+arc\ BC-arc\ AC]

substitute

M=\frac{1}{2}[2\gamma+2\alpha-2\beta]\\M=[\gamma+\alpha-\beta]

step 3   

Find the measure of angle N

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

N=\frac{1}{2}[arc\ AC+arc\ BC-arc\ AB]

substitute

N=\frac{1}{2}[2\beta+2\alpha-2\gamma]\\N=[\beta+\alpha-\gamma]

step 4    

Find the measure of angle P

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

P=\frac{1}{2}[arc\ AC+arc\ AB-arc\ BC]

substitute

P=\frac{1}{2}[2\beta+2\gamma-2\alpha]\\P=[\beta+\gamma-\alpha]

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